36180144 has 240 divisors, whose sum is σ = 136491264. Its totient is φ = 8640000.

The previous prime is 36180113. The next prime is 36180149. The reversal of 36180144 is 44108163.

36180144 = T₇ + T₈ + ... + T₆₀₀.

36180144 is a `hidden beast` number, since 3 + 618 + 0 + 1 + 44 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36180149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144019 + ... + 144269.

Almost surely, 2^36180144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36180144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68245632).

36180144 is an abundant number, since it is smaller than the sum of its proper divisors (100311120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36180144 is a wasteful number, since it uses less digits than its factorization.

36180144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 36180144 is about 6014.9932668291. The cubic root of 36180144 is about 330.7425702299.

The spelling of 36180144 in words is "thirty-six million, one hundred eighty thousand, one hundred forty-four".